31000253012009 has 2 divisors, whose sum is σ = 31000253012010. Its totient is φ = 31000253012008.

The previous prime is 31000253011999. The next prime is 31000253012011. The reversal of 31000253012009 is 90021035200013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21923259043984 + 9076993968025 = 4682228^2 + 3012805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31000253012009 is a prime.

It is a super-2 number, since 2×31000253012009² (a number of 28 digits) contains 22 as substring.

Together with 31000253012011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31000253012089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500126506004 + 15500126506005.

It is an arithmetic number, because the mean of its divisors is an integer number (15500126506005).

Almost surely, 2^{31000253012009} is an apocalyptic number.

It is an amenable number.

31000253012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31000253012009 is an equidigital number, since it uses as much as digits as its factorization.

31000253012009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 26.

The spelling of 31000253012009 in words is "thirty-one trillion, two hundred fifty-three million, twelve thousand, nine".